Understanding Fractions: Simplification and Reduction

What happens to a fraction when you multiply both its numerator and denominator by the same number?

• The fraction's form changes but its value remains the same.

• The fraction becomes an improper fraction.

• The fraction's value changes.

• The fraction becomes a mixed number.

What is the term used for the process of dividing both the numerator and denominator of a fraction by the same number?

• Multiplying

• Simplifying

• Expanding

• Converting

How can you determine if a fraction can be reduced?

• By ensuring the numerator is a prime number.

• By finding a common divisor for both the numerator and denominator.

• By checking if the numerator is larger than the denominator.

• By converting it to a decimal.

What is the result of reducing the fraction 15/21?

• 5/7

• 1/3

• 3/5

• 7/5

When reducing the fraction 30/42, which factors are common to both the numerator and denominator?

• Two and five

• Two and three

• Three and seven

• Four and six

What is the simplified form of the fraction 30/72?

• 3/8

• 5/7

• 5/12

• 1/2

What happens when you cancel out the factors of seven in the fraction 7/63?

• You get 1/9

• You get 7/9

• You get 1/7

• You get 9/1

What is the greatest common factor of the numbers 30 and 42?

• Six

• Twelve

• Three

• Two

What type of fraction is 5/6?

• Decimal

• Proper fraction

• Mixed number

• Improper fraction

What is an improper fraction?

• A fraction with a numerator of one.

• A fraction where the numerator is less than the denominator.

• A fraction that represents a value greater than one.

• A fraction that cannot be simplified.